anonymous
  • anonymous
True or False: A system of two linear equations containing two variables always has at least one solution. True or False: A solution of a system of equations consists of values for the variables that are solutions of each equation of the system.
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
im not sure if i fully understand this. But two linear equations with two variables. i.e y=x and y=x-1 these two do not have any intersections (solutions) meaning the first one is false ... that is what i take from it anyway, i may be wrong
DebbieG
  • DebbieG
As @Taplin44 points out, keeping in mind that two linear equations are just two equations for lines, just picture what would happen if those 2 lines happen to be parallel lines....? As for the second one, I find the wording ambiguous: "A solution of a system of equations consists of values for the variables that are solutions of \( \Large \text {each}\) equation of the system." The word "each" sounds like it means one set of values for one equation, and another set for the other system, would be a solution?? If it said: "A solution of a system of equations consists of values for the variables that are solutions of \( \Large \text {both equations}\) of the system." .....then it would be less ambiguous, and clearly true.
anonymous
  • anonymous
Thank you both so much.

Looking for something else?

Not the answer you are looking for? Search for more explanations.